Constrained Optimization and Image Space Analysis [electronic resource] : Volume 1: Separation of Sets and Optimality Conditions / by Franco Giannessi.
Series: Mathematical Concepts and Methods in Science and Engineering ; 49Publisher: Boston, MA : Springer US, 2005Description: XII, 396 p. online resourceContent type:- text
- computer
- online resource
- 9780387280202
- 519 23
- T57-57.97

Elements of Convex Analysis and Separation -- to Image Space Analysis -- Alternative and Separation -- Optimality Conditions. Preliminary Results.
Over the last twenty years, Professor Franco Giannessi, a highly respected researcher, has been working on an approach to optimization theory based on image space analysis. His theory has been elaborated by many other researchers in a wealth of papers. Constrained Optimization and Image Space Analysis unites his results and presents optimization theory and variational inequalities in their light. It presents a new approach to the theory of constrained extremum problems, including Mathematical Programming, Calculus of Variations and Optimal Control Problems. Such an approach unifies the several branches: Optimality Conditions, Duality, Penalizations, Vector Problems, Variational Inequalities and Complementarity Problems. The applications benefit from a unified theory.